Polarization characteristics of superoscillatory beams

Recent theoretical and experimental studies have introduced the counterintuitive concept of superoscillations in the context of optics, with direct implications in superresolution [1], subwavelength focusing and imaging [2, 3] without evanescent waves. One can create superoscillatory diffractionless beams by superimposing already known stationary solutions of Helmholtz equation [4], and therefore transfer subwavelength information into the far field. It is noteworthy to mention that this is not interference but a superposition effect, where the intensity of the subwavelength regions is invariant with respect to the propagation distance. The scope of this paper is to understand how one can control and change the polarization of the subwavelength regions with respect to the surrounding high intensity lobes.